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scoundrel [369]
2 years ago
8

Verify cos^4x-sin^4x=cos2x

Mathematics
1 answer:
kati45 [8]2 years ago
7 0
A^2 - b^2 = (a - b)( a +b);
<span>cos^4x-sin^4x =( cos^2x + sin^2x )( cos^2x - sin^2x) = 1* cos2x = co2x.</span>
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Need help please help me
Ostrovityanka [42]
The solution is the point of intersection between the two equations.

Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.

In the graph the first equation is in blue and the second in red.

The point of intersection = the solution = (-6 , -1)



If you dont have access to a graphing calculator you could draw the graphs by hand;

1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)

y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)

x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3

y = x + 5

x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7

2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph

3) Using a ruler draw a line connection all the dots of one graph and do the same for the other

4) The point of intersection is the solution

8 0
3 years ago
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Step2247 [10]

Answer:

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Step-by-step explanation:

3 0
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Solve -7(3x-7)+21x_&gt;50
ohaa [14]

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your inequality step-by-step.

−7(3x−7)+21x≥50

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A cube has an edge measuring 6 cm. Find its volume.
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Answer:

216

Step-by-step explanation:

Hope this helps.

4 0
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Help!! For first and second please
jenyasd209 [6]

Answer:

it goes al the way up to 15 and it stops at 5 and the 8 makes the green house

5 0
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